run the appropriate hypothesis test to determine if the average duration times are shorter for bottle-fed babies than breast-fed babies using a level of significance of 5%.

A common symptom of otitis media in young children is a prolonged presence of fluid in the middle ear, known as middle- ear infusion (MED). The presence of fluid may result in hearing loss or interfere with learning skills. One study looked at the duration (in days) of middle ear infusion for breast-fed babies and bottle-fed babies to see if breast-fed babies have a shorter duration. At study of 13 pairs of babies is set up, where the babies are matched on a one-to-one basis according to age, gender, socioeconomic status and type of medications taken. One member of each pair is breast-fed and the other member bottle-fed. Despite the wide-ranging observations, tests of normality revealed that Duration of Middle-Ear Infusion does follow a normal distribution. Duration of Middle-Ear Infusion (in days) Pair Bottle-Fed Breast-Fed Difference 1 20 4 16 11 19 -8 3 7 -4 54 64 -10 19 35 -16 - CO V Q UI A W N 28 38 -10 22 41 -19 38 47 -9 24 36 -12 49 5 10 54 11 7 18 -11 12 44 42 2 -5 13 19 24 -6.231 Mean 26.385 32.615 16.601 17.352 9.347 Std. Dev. the appropriate hypothesis test to determine if average duration times are shorter level of significance of 5%